Which of the following is an equation of the tangent line to the graph h(x)=- Oy-3--1(x-3) Oy - 1/2 = - 4(x -4(x-3) Oy-1--1/(x-3) 2 4 1 X-1 y-3= -1/(x-1/2) at x = 3?

Q: If lim 2 f(x) = L and lim 8(x) x-a x-a 4 =0, Calculate f(x)+x² g(x)+a lim: x-a

A:

Q: Find the limit of the following:  a) lim x→∞ (sin2x / x2) b) lim x→∞ (x - √x)

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: 4. You have 20 ft of wire that you want to cut and fold into two different shapes, a circle and a…

A: Given length of wire = 20 ft

Q: Given that f(x) = 8x + 4 and g(x) = 1 − µ², find: a) f(g(0))= b) g(f(0))=

A:

Q: 5 -4 -3 -2 -1 + -2 1 2 3 4 4 5

A:

Q: A vehicle travels in a straight line for t minutes with a velocity of v(t): = for 0 ≤ t ≤ 15. Step 1…

A:

Q: 2. Se* sin(e) dx

A:

Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

A:

Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: Which of the following correctly gives the Cartesian form of the parametric equations x(t) = -2t - 5…

A: Here we have given two equations: x(t)=-2t-5        ...eq(1) y(t)=t+4   ...eq(2) From eq(1), we…

Q: [10 01 00 LO O 00 00-5 -5 O 0 00 01

A: Given :Matrix = 1000010000-500001

Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: Evaluate lim X→-2 x²-x-6 x-2

A: We can find the limit of the function.

Q: Find  f '(a). f(x) =    square root of 1 − 2x

A:

Q: Given that f(x) = 6 -√²+1 and g(x) = x - 7, find: 2 a) (fog)(-2) b) (fog)(x) = 6-√(x-7)²+1

A:

Q: The count in a bacteria culture was 100 after 20 minutes and 1600 after 35 minutes. Assuming the…

A: The growth of bacteria is given as , ft=cekt Growth rate (k)=?

Q: The interval(s) on which f is decreasing is/are (Type your answer in interval notation. Use a comma…

A: To find the intervals on which f is increasing:

Q: 6. f10e* √1+2e¹dx

A:

Q: Evaluate each limit, if it exists: a)lim ²-4 X-2

A:

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A:

Q: If g(x) = sin(x) then g'(x) = = g'(5) =

A:

Q: Given that f(x) = x² - 7x and g(x) = x + 8, find: a) (f+g)(-1): b) (fg)(1) c) (fg)(-1) = (-/-) ( −…

A:

Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

A:

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

A:

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

A: Derivative

Q: Find the indicated limit given that lim f(x) = 6 and lim g(x) = 3. x-a x→a lim 2f(x) + 5g(x) x→a

A:

Q: Determine the equation of the plane in the form z=f(x,y) that passes through the points…

A:

Q: F (N) 24 18 12 16 2 00 4 6 8 10 12 14 16 x (m) How much work W is done (in J) by the force in moving…

A: Topic = Area

Q: Find values of cl and c2 so that the given functions will satisfy the prescribed initial conditions.…

A:

Q: Y X arb 1.5 Lab Activity In BMX dirt bike racing, jumping high (or "getting air") depends on many…

A:

Q: The cost, in dollars, to produce a designer dog leashes is C(x) in dollars per leash, is p(x) = 117…

A:

Q: 2-L-¹ [ 6 2S-8 - 3-2S 95²-16 + 8+6S 4 S²+9

A:

Q: [200] 020 00 02

A:

Q: 20605 divided by 5

A:

Q: Evaluate lim 3sin4xsin2x म cos2x+1 2

A: This question can be solved by the concept of removing the indeterminate forms in limit

Q: If f(x) ƒ'(x) = = Cos = ƒ'(2): = 2 tan , then

A:

Q: If f(x) = ƒ'(x) = f'(5) = = √x - 3 √x + 3 3 find:

A:

Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx+xydy=0

A: The given differential equation is; (x2e-y^2/x^2 -y2)dx + xydy=0.

Q: Find the 53th The answer is function derivative of the function f(x) = cos(x).

A:

Q: Let f(x,y,z) = x²-tany² 2xyz Solve for fzxy.

A: Given :fx,y,z=x2-tany22xyz

Q: 8. Find the yearly interest rate (r) which, compounded monthly, would produce an annual percentage…

A:

Q: the

A:

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: From given table

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: Find an equation of the plane consisting of all points that are equidistant from (4, 0, -2) and (3,…

A: Here is the solution:

Q: Find the vector equation for the line of intersection of the planes 4x + 5y - 4z = -2 and 4x + 2z =…

A:

Q: Q5/ A: Solve the following differential equation by Laplace : dy dx || -6, y(0) = 3

A:

Q: Let f(x) = x² - 64 x - 8 Complete the table below. Round all table values to four decimal places, if…

A:

Q: 199. Let f(x) = cotx. Determine the points on the graph of f for 0 < x < 2 where the tangent line(s)…

A: